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Finding the Fourth Proportional to 6,491.40, 9,737.10 and 1,811.40

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Solution

The fourth proportional to 6,491.40, 9,737.10 and 1,811.40 is: 2,717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.40 : 9,737.10 = 1,811.40 : x
  2. Step 2: Convert to fraction form
    6,491.40/9,737.10 = 1,811.40/x
  3. Step 3: Cross multiply
    6,491.40x = 9,737.10 × 1,811.40
  4. Step 4: Simplify right side
    6,491.40x = 17,637,782.94
  5. Step 5: Solve for x
    x = 17,637,782.94/6,491.40
  6. Step 6: Final answer
    x = 2,717.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.